Subjects geometry

Point Centroid 6B5Fe8

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1. **Problem Statement:** Classify point C in a triangle where three medians are drawn to point C from the midpoints of the sides. 2. **Key Concept:** The point where the three medians of a triangle intersect is called the **centroid**. 3. **Definition of Medians:** A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. 4. **Properties of the Centroid:** - It is the point of concurrency of the medians. - It divides each median into a ratio of 2:1, with the longer segment being between the vertex and the centroid. 5. **Given:** Point C is the intersection of the three medians. 6. **Conclusion:** Since point C is the intersection of the medians, it is the **centroid** of the triangle. **Final answer:** C. Centroid
C